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Based on the complex analysis of the Lossy Transmission Line Theory, which involves the result of a Generalized Smith Chart, whose new version arises when trying to characterize the wave impedance along the Transmission Line by means of analytical complex functions. Among these functions, the complex logarithm of the reflection coefficient leads to the logarithmic-reflexion coefficientplane and its parameterized version, the Logarithmic Generalized Smith Chart. This plane is specially useful for characterizing the Transmission Line along its extension. To validate these results, some examples will be presented providing physical interpretations to the behaviour of a lossy TL and pointing out some practical applications.

A LOGARITHMIC VERSION OF THE COMPLEX GENERALIZED SMITH CHART